Mathematics: What is the slope of a line that is perpendicular to the line 3y - 4x = -8?

What is the slope of a line that is perpendicular

kiekie1986

06.02.2022

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3y - 4x = - 8

Add sides 4x

3y - 4x + 4x = 4x - 8

3y = 4x - 8

Divide sides by 3

$\frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\$

$y = \frac{4}{3} x - 8 \\$

This is the slope-intercept form of the line.

We that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus ;

$slope = \frac{4}{3} \\$

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Remember from now on ;

Multiply of the slopes of the lines which are perpendicular to each other equal -1 .

Suppose the slope of the line which question asked is m.

So :

$\frac{3}{4} \times m = - 1 \\$

Multiply sides by 4

$4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\$

3m = - 4

Divide sides by 3

$\frac{3}{3} m = \frac{ - 4}{3} \\$

$m = - \frac{4}{3} \\$

Done...

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